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Previous year question hub

Permutations And Combinations - Algebra - Mathematics Previous Year Questions

Practice Permutations And Combinations - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

16Papers
15Years
38Questions
1Topics

Permutations And Combinations question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Permutations And Combinations. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 38 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 37 97.4%
Subjective 1 2.6%

Subject weightage

Top subjects by unique question coverage.

Mathematics
38 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
38 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Permutations And Combinations
38 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

VITEEE 2025
2 Qs
WB JEE 2025
2 Qs
WB JEE 2024
3 Qs
WB JEE 2023
4 Qs
WB JEE 2022
1 Qs
WB JEE 2021
2 Qs
WB JEE 2020
2 Qs
WB JEE 2019
2 Qs
WB JEE 2018
4 Qs
WB JEE 2017
2 Qs
WB JEE 2016
3 Qs
WB JEE 2012
1 Qs
WB JEE 2011
4 Qs
WB JEE 2010
2 Qs
WB JEE 2009
1 Qs
WB JEE 2008
3 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
VITEEE 202520252View paper
WB JEE 202520252View paper
WB JEE 202420243View paper
WB JEE 202320234View paper
WB JEE 202220221View paper
WB JEE 202120212View paper
WB JEE 202020202View paper
WB JEE 201920192View paper
WB JEE 201820184View paper
WB JEE 201720172View paper
WB JEE 201620163View paper
WB JEE 201220121View paper
WB JEE 201120114View paper
WB JEE 201020102View paper
WB JEE 200920091View paper
WB JEE 200820083View paper

All Permutations And Combinations previous year questions

Practice every matching question in batches of 20, with every available option.

1
2016 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2016
If \({}^n{C_{r - 1}} = 36,{}^n{C_r} = 84\) and \({}^n{C_{r + 1}} = 126\), then the value of \({}^n{C_8}\) is
A
10
B
7
C
9
D
8
Open complete paper
2
2016 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2016
If \({1 \over {{}^5{C_r}}} + {1 \over {{}^6{C_r}}} = {1 \over {{}^4{C_r}}}\), then the value of r is
A
4
B
2
C
5
D
3
Open complete paper
3
2016 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2016
The letters of the word COCHIN are permuted and all permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is
A
96
B
48
C
183
D
267
Open complete paper
4
2017 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2017
The number of all numbers having 5 digits, with distinct digits is
A
99999
B
\(9 \times {}^9{P_4}\)
C
\({}^{10}{P_5}\)
D
\({}^9{P_4}\)
Open complete paper
5
2017 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2017
Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that can be formed is
A
210
B
25200
C
2520
D
302400
Open complete paper
6
2018 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2018
On the occasion of Dipawali festival each student of a class sends greeting cards to others. If there are 20 students in the class, the number of cards sends by students is
A
\({}^{20}{C_2}\)
B
\({}^{20}{P_2}\)
C
\(2 \times {}^{20}{C_2}\)
D
\(2 \times {}^{20}{P_2}\)
Open complete paper
7
2018 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2018
The number of selection of n objects from 2n objects of which n are identical and the rest are different, is
A
2n
B
2n \(-\) 1
C
2n \(-\) 1
D
2n \(-\) 1 + 1
Open complete paper
8
2018 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2018
If (2 \(\le\) r \(\le\) n), then \({}^n{C_r}\) + 2 . \({}^n{C_{r + 1}}\) + \({}^n{C_{r + 2}}\) is equal to
A
2 . \({}^n{C_{r + 2}}\)
B
\({}^{n + 1}{C_{r + 1}}\)
C
\({}^{n + 2}{C_{r + 2}}\)
D
\({}^{n + 1}{C_r}\)
Open complete paper
9
2018 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2018
From a collection of 20 consecutive natural numbers, four are selected such that they are not consecutive. The number of such selections is
A
284 \(\times\) 17
B
285 \(\times\) 17
C
284 \(\times\) 16
D
285 \(\times\) 16
Open complete paper
10
2019 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2019
A candidate is required to answer 6 out of 12 questions which are divided into two parts A and B, each containing 6 questions and he/she is not permitted to attempt more than 4 questions from any part. In how many different ways can he/she make up his/her choice of 6 questions?
A
850
B
800
C
750
D
700
Open complete paper
11
2019 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2019
There are 7 greeting cards, each of a different colour and 7 envelopes of same 7 colours as that of the cards. The number of ways in which the cards can be put in envelopes, so that exactly 4 of the cards go into envelopes of respective colour is,
A
\({}^7{C_3}\)
B
2 . \({}^7{C_3}\)
C
3! \({}^4{C_4}\)
D
3! \({}^7{C_3}\)\({}^4{C_3}\)
Open complete paper
12
2020 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2020
In a 12 storied building, 3 persons enter a lift cabin. It is known that they will leave the lift at different floors. In how many ways can they do so if the lift does not stop at the second floor?
A
36
B
120
C
240
D
720
Open complete paper
13
2020 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2020
If the total number of m-element subsets of the set A = {a1, a2, ..., an} is k times the number of m element subsets containing a4, then n is
A
(m \(-\) 1)k
B
mk
C
(m + 1)k
D
(m + 2)k
Open complete paper
14
2021 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2021
Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactly three vowels and two consonants. How many of them have all the vowels together?
A
3600
B
1800
C
1080
D
900
Open complete paper
15
2021 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2021
What is the number of ways in which an examiner can assign 10 marks to 4 questions, giving not less than 2 marks to any question?
A
4
B
6
C
10
D
16
Open complete paper
16
2022 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2022

There are n white and n black balls marked 1, 2, 3, ...... n. The number of ways in which we can arrange these balls in a row so that neighbouring balls are of different colours is

A
(n!)2
B
(2n)!
C
2(n!)2
D
\({{(2n)!} \over {{{(n!)}^2}}}\)
Open complete paper
17
2023 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2023

A letter lock consists of three rings with 15 different letters. If N denotes the number of ways in which it is possible to make unsuccessful attempts to open the lock, then

A
482 divides N
B
N is the product of two distinct prime numbers.
C
N is the product of three distinct prime numbers.
D
16 divides N.
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18
2023 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2023

n objects are distributed at random among n persons. The number of ways in which this can be done so that at least one of them will not get any object is

A
\(n! - n\)
B
\({n^n} - n\)
C
\({n^n} - {n^2}\)
D
\({n^n} - n!\)
Open complete paper
19
2023 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2023

Let A be a set containing n elements. A subset P of A is chosen, and the set A is reconstructed by replacing the elements of P. A subset Q of A is chosen again. The number of ways of choosing P and Q such that Q contains just one element more than P is

A
\({}^{2n}{C_{n - 1}}\)
B
\({}^{2n}{C_n}\)
C
\({}^{2n}{C_{n + 2}}\)
D
\({2^{2n + 1}}\)
Open complete paper
20
2023 · Mathematics · Algebra · Permutations And Combinations
WB JEE 2023

The number of ways in which the letters of the word 'VERTICAL' can be arranged without changing the order of the vowels is

A
\(6! \times 3!\)
B
\({{8!} \over 3}\)
C
\(6! \times 3\)
D
\({{8!} \over {3!}}\)
Open complete paper

Showing 20 of 38 questions